{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2024-05-08T01:38:39.024239500Z",
     "start_time": "2024-05-08T01:38:38.009542300Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.ticker import MultipleLocator, FormatStrFormatter\n",
    "from scipy import interp"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "# Fpr and Tpr of five-fold cross-validation of MAHN and four benchmark methods"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "d5529b7eed4046f9"
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "fpr_MDBIRW=[[0.        , 0.        , 0.        , 0.        , 0.        ,\n",
    "       0.        , 0.        , 0.02083333, 0.02083333, 0.02083333,\n",
    "       0.02083333, 0.02083333, 0.02083333, 0.02083333, 0.02777778,\n",
    "       0.02777778, 0.04166667, 0.04166667, 0.05555556, 0.05555556,\n",
    "       0.07638889, 0.07638889, 0.07638889, 0.08333333, 0.08333333,\n",
    "       0.10416667, 0.10416667, 0.125     , 0.125     , 0.13194444,\n",
    "       0.13194444, 0.13888889, 0.13888889, 0.14583333, 0.16666667,\n",
    "       0.17361111, 0.17361111, 0.1875    , 0.20833333, 0.20833333,\n",
    "       0.22222222, 0.22222222, 0.23611111, 0.23611111, 0.24305556,\n",
    "       0.24305556, 0.25      , 0.25      , 0.25694444, 0.25694444,\n",
    "       0.27083333, 0.27083333, 0.27777778, 0.27777778, 0.29166667,\n",
    "       0.29166667, 0.30555556, 0.30555556, 0.32638889, 0.33333333,\n",
    "       0.33333333, 0.34027778, 0.34027778, 0.34722222, 0.34722222,\n",
    "       0.36805556, 0.36805556, 0.40277778, 0.41666667, 0.4375    ,\n",
    "       0.4375    , 0.45138889, 0.47916667, 0.47916667, 0.52777778,\n",
    "       0.52777778, 0.54861111, 0.54861111, 0.55555556, 0.55555556,\n",
    "       0.56944444, 0.59722222, 0.63194444, 0.63194444, 0.75      ,\n",
    "       0.75      , 0.76388889, 0.77777778, 0.8125    , 0.83333333,\n",
    "       0.85416667, 0.86805556, 0.875     , 0.88888889, 0.92361111,\n",
    "       0.9375    , 1.        ], [0.        , 0.        , 0.        , 0.        , 0.        ,\n",
    "       0.        , 0.00735294, 0.00735294, 0.00735294, 0.00735294,\n",
    "       0.00735294, 0.00735294, 0.01470588, 0.01470588, 0.01470588,\n",
    "       0.01470588, 0.02205882, 0.02205882, 0.02205882, 0.02205882,\n",
    "       0.02205882, 0.02205882, 0.02941176, 0.02941176, 0.03676471,\n",
    "       0.03676471, 0.04411765, 0.04411765, 0.05147059, 0.05147059,\n",
    "       0.05882353, 0.05882353, 0.06617647, 0.06617647, 0.06617647,\n",
    "       0.08823529, 0.08823529, 0.11764706, 0.11764706, 0.125     ,\n",
    "       0.125     , 0.13970588, 0.13970588, 0.15441176, 0.15441176,\n",
    "       0.16176471, 0.16176471, 0.17647059, 0.17647059, 0.20588235,\n",
    "       0.20588235, 0.22058824, 0.22058824, 0.22794118, 0.24264706,\n",
    "       0.25      , 0.25      , 0.25      , 0.27205882, 0.29411765,\n",
    "       0.29411765, 0.30147059, 0.31617647, 0.32352941, 0.32352941,\n",
    "       0.33823529, 0.34558824, 0.34558824, 0.36029412, 0.36029412,\n",
    "       0.38235294, 0.39705882, 0.39705882, 0.41176471, 0.41176471,\n",
    "       0.41911765, 0.41911765, 0.42647059, 0.42647059, 0.43382353,\n",
    "       0.43382353, 0.46323529, 0.47794118, 0.47794118, 0.49264706,\n",
    "       0.49264706, 0.54411765, 0.54411765, 0.58823529, 0.60294118,\n",
    "       0.63235294, 0.63235294, 0.66911765, 0.69117647, 0.73529412,\n",
    "       0.73529412, 0.86029412, 0.88235294, 1.        ], [0.        , 0.        , 0.        , 0.        , 0.        ,\n",
    "       0.        , 0.        , 0.        , 0.        , 0.00714286,\n",
    "       0.00714286, 0.01428571, 0.01428571, 0.02142857, 0.02142857,\n",
    "       0.03571429, 0.03571429, 0.04285714, 0.04285714, 0.06428571,\n",
    "       0.06428571, 0.10714286, 0.13571429, 0.15      , 0.16428571,\n",
    "       0.16428571, 0.17142857, 0.17142857, 0.17142857, 0.18571429,\n",
    "       0.2       , 0.2       , 0.22142857, 0.22142857, 0.22857143,\n",
    "       0.22857143, 0.23571429, 0.25      , 0.25      , 0.25714286,\n",
    "       0.25714286, 0.28571429, 0.28571429, 0.29285714, 0.29285714,\n",
    "       0.30714286, 0.30714286, 0.35      , 0.35      , 0.36428571,\n",
    "       0.36428571, 0.39285714, 0.39285714, 0.4       , 0.4       ,\n",
    "       0.40714286, 0.40714286, 0.46428571, 0.49285714, 0.5       ,\n",
    "       0.51428571, 0.53571429, 0.55      , 0.67857143, 0.69285714,\n",
    "       0.77142857, 0.79285714, 0.83571429, 0.85      , 1.        ],[0.        , 0.        , 0.        , 0.        , 0.        ,\n",
    "       0.        , 0.00769231, 0.00769231, 0.00769231, 0.00769231,\n",
    "       0.00769231, 0.01538462, 0.01538462, 0.01538462, 0.01538462,\n",
    "       0.02307692, 0.02307692, 0.02307692, 0.03846154, 0.03846154,\n",
    "       0.04615385, 0.04615385, 0.06153846, 0.06153846, 0.06923077,\n",
    "       0.06923077, 0.07692308, 0.07692308, 0.07692308, 0.08461538,\n",
    "       0.08461538, 0.1       , 0.1       , 0.10769231, 0.10769231,\n",
    "       0.12307692, 0.14615385, 0.14615385, 0.16153846, 0.16153846,\n",
    "       0.16923077, 0.16923077, 0.19230769, 0.19230769, 0.2       ,\n",
    "       0.2       , 0.20769231, 0.20769231, 0.21538462, 0.21538462,\n",
    "       0.22307692, 0.22307692, 0.23076923, 0.23076923, 0.23846154,\n",
    "       0.23846154, 0.24615385, 0.24615385, 0.26153846, 0.28461538,\n",
    "       0.28461538, 0.30769231, 0.32307692, 0.33076923, 0.33076923,\n",
    "       0.39230769, 0.39230769, 0.41538462, 0.41538462, 0.43076923,\n",
    "       0.43076923, 0.43846154, 0.43846154, 0.48461538, 0.48461538,\n",
    "       0.49230769, 0.49230769, 0.55384615, 0.55384615, 0.56923077,\n",
    "       0.56923077, 0.57692308, 0.6       , 0.6       , 0.63076923,\n",
    "       0.63076923, 0.65384615, 0.66923077, 0.67692308, 0.67692308,\n",
    "       0.69230769, 0.69230769, 0.74615385, 0.76153846, 0.91538462,\n",
    "       0.93076923, 1.        ], [0.        , 0.        , 0.        , 0.        , 0.        ,\n",
    "       0.        , 0.01428571, 0.01428571, 0.02142857, 0.02142857,\n",
    "       0.02142857, 0.02142857, 0.02142857, 0.02857143, 0.02857143,\n",
    "       0.02857143, 0.03571429, 0.03571429, 0.04285714, 0.04285714,\n",
    "       0.05      , 0.05      , 0.05714286, 0.05714286, 0.08571429,\n",
    "       0.08571429, 0.09285714, 0.09285714, 0.1       , 0.1       ,\n",
    "       0.12857143, 0.14285714, 0.15714286, 0.15714286, 0.16428571,\n",
    "       0.16428571, 0.17142857, 0.17142857, 0.17857143, 0.17857143,\n",
    "       0.18571429, 0.18571429, 0.19285714, 0.19285714, 0.2       ,\n",
    "       0.2       , 0.2       , 0.21428571, 0.21428571, 0.22142857,\n",
    "       0.23571429, 0.23571429, 0.23571429, 0.23571429, 0.24285714,\n",
    "       0.27142857, 0.27142857, 0.27857143, 0.27857143, 0.28571429,\n",
    "       0.28571429, 0.29285714, 0.29285714, 0.3       , 0.3       ,\n",
    "       0.32142857, 0.32142857, 0.34285714, 0.34285714, 0.35      ,\n",
    "       0.35      , 0.36428571, 0.36428571, 0.37142857, 0.37142857,\n",
    "       0.37857143, 0.37857143, 0.38571429, 0.38571429, 0.4       ,\n",
    "       0.40714286, 0.40714286, 0.41428571, 0.41428571, 0.43571429,\n",
    "       0.43571429, 0.44285714, 0.44285714, 0.47142857, 0.47142857,\n",
    "       0.51428571, 0.51428571, 0.52857143, 0.55      , 0.57857143,\n",
    "       0.57857143, 0.58571429, 0.60714286, 0.72142857, 0.74285714,\n",
    "       0.82857143, 0.84285714, 0.89285714, 0.90714286, 0.95      ,\n",
    "       0.96428571, 1.        ]]\n",
    "tpr_MDBIRW= [[0.        , 0.06818182, 0.09848485, 0.24242424, 0.25757576,\n",
    "       0.28030303, 0.29545455, 0.29545455, 0.31060606, 0.33333333,\n",
    "       0.34848485, 0.37878788, 0.39393939, 0.42424242, 0.42424242,\n",
    "       0.53030303, 0.53030303, 0.54545455, 0.54545455, 0.58333333,\n",
    "       0.58333333, 0.59848485, 0.62121212, 0.62121212, 0.67424242,\n",
    "       0.67424242, 0.68181818, 0.68181818, 0.6969697 , 0.6969697 ,\n",
    "       0.71969697, 0.71969697, 0.77272727, 0.77272727, 0.77272727,\n",
    "       0.77272727, 0.78030303, 0.78030303, 0.78030303, 0.78787879,\n",
    "       0.78787879, 0.79545455, 0.79545455, 0.82575758, 0.82575758,\n",
    "       0.84090909, 0.84090909, 0.84848485, 0.84848485, 0.85606061,\n",
    "       0.85606061, 0.86363636, 0.86363636, 0.87121212, 0.87121212,\n",
    "       0.87878788, 0.87878788, 0.89393939, 0.89393939, 0.89393939,\n",
    "       0.90151515, 0.90151515, 0.90909091, 0.90909091, 0.92424242,\n",
    "       0.92424242, 0.93181818, 0.93181818, 0.93181818, 0.93181818,\n",
    "       0.9469697 , 0.9469697 , 0.9469697 , 0.95454545, 0.95454545,\n",
    "       0.96212121, 0.96212121, 0.96969697, 0.96969697, 0.98484848,\n",
    "       0.98484848, 0.98484848, 0.98484848, 0.99242424, 0.99242424,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        ], [0.        , 0.08571429, 0.10714286, 0.11428571, 0.12857143,\n",
    "       0.23571429, 0.23571429, 0.25      , 0.28571429, 0.29285714,\n",
    "       0.33571429, 0.37142857, 0.37142857, 0.37857143, 0.39285714,\n",
    "       0.40714286, 0.40714286, 0.50714286, 0.52142857, 0.54285714,\n",
    "       0.55714286, 0.58571429, 0.58571429, 0.59285714, 0.59285714,\n",
    "       0.66428571, 0.66428571, 0.7       , 0.7       , 0.70714286,\n",
    "       0.70714286, 0.71428571, 0.71428571, 0.72857143, 0.74285714,\n",
    "       0.74285714, 0.75      , 0.75      , 0.75714286, 0.75714286,\n",
    "       0.76428571, 0.76428571, 0.77142857, 0.77142857, 0.77857143,\n",
    "       0.77857143, 0.78571429, 0.78571429, 0.79285714, 0.79285714,\n",
    "       0.80714286, 0.80714286, 0.81428571, 0.81428571, 0.81428571,\n",
    "       0.81428571, 0.82142857, 0.83571429, 0.83571429, 0.83571429,\n",
    "       0.84285714, 0.84285714, 0.84285714, 0.84285714, 0.86428571,\n",
    "       0.86428571, 0.86428571, 0.87142857, 0.87142857, 0.87857143,\n",
    "       0.87857143, 0.87857143, 0.9       , 0.9       , 0.92142857,\n",
    "       0.92142857, 0.92857143, 0.92857143, 0.93571429, 0.93571429,\n",
    "       0.94285714, 0.94285714, 0.94285714, 0.95      , 0.95      ,\n",
    "       0.96428571, 0.96428571, 0.98571429, 0.98571429, 0.98571429,\n",
    "       0.98571429, 0.99285714, 0.99285714, 0.99285714, 0.99285714,\n",
    "       1.        , 1.        , 1.        , 1.        ], [0.        , 0.13970588, 0.16176471, 0.27205882, 0.29411765,\n",
    "       0.33088235, 0.40441176, 0.41911765, 0.57352941, 0.57352941,\n",
    "       0.58088235, 0.58088235, 0.60294118, 0.60294118, 0.63235294,\n",
    "       0.63235294, 0.66176471, 0.66176471, 0.67647059, 0.67647059,\n",
    "       0.77205882, 0.77205882, 0.77205882, 0.77205882, 0.77205882,\n",
    "       0.78676471, 0.78676471, 0.80147059, 0.81617647, 0.81617647,\n",
    "       0.81617647, 0.84558824, 0.84558824, 0.85294118, 0.85294118,\n",
    "       0.86029412, 0.86029412, 0.86029412, 0.88235294, 0.88235294,\n",
    "       0.90441176, 0.90441176, 0.91911765, 0.91911765, 0.94852941,\n",
    "       0.94852941, 0.95588235, 0.95588235, 0.96323529, 0.96323529,\n",
    "       0.97058824, 0.97058824, 0.98529412, 0.98529412, 0.99264706,\n",
    "       0.99264706, 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ],[0.        , 0.06164384, 0.06849315, 0.10273973, 0.13013699,\n",
    "       0.2260274 , 0.2260274 , 0.24657534, 0.28767123, 0.32191781,\n",
    "       0.33561644, 0.33561644, 0.39726027, 0.4109589 , 0.43150685,\n",
    "       0.43150685, 0.5890411 , 0.60273973, 0.60273973, 0.63013699,\n",
    "       0.63013699, 0.6369863 , 0.6369863 , 0.66438356, 0.66438356,\n",
    "       0.69863014, 0.69863014, 0.71232877, 0.74657534, 0.74657534,\n",
    "       0.75342466, 0.75342466, 0.76027397, 0.76027397, 0.76712329,\n",
    "       0.76712329, 0.76712329, 0.7739726 , 0.7739726 , 0.78082192,\n",
    "       0.78082192, 0.78767123, 0.78767123, 0.80136986, 0.80136986,\n",
    "       0.81506849, 0.81506849, 0.82876712, 0.82876712, 0.83561644,\n",
    "       0.83561644, 0.84246575, 0.84246575, 0.84931507, 0.84931507,\n",
    "       0.85616438, 0.85616438, 0.8630137 , 0.8630137 , 0.8630137 ,\n",
    "       0.87671233, 0.87671233, 0.87671233, 0.87671233, 0.90410959,\n",
    "       0.90410959, 0.91780822, 0.91780822, 0.92465753, 0.92465753,\n",
    "       0.93150685, 0.93150685, 0.93835616, 0.93835616, 0.94520548,\n",
    "       0.94520548, 0.95205479, 0.95205479, 0.96575342, 0.96575342,\n",
    "       0.97260274, 0.97260274, 0.97260274, 0.97945205, 0.97945205,\n",
    "       0.98630137, 0.98630137, 0.98630137, 0.98630137, 0.99315068,\n",
    "       0.99315068, 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        ], [0.        , 0.09558824, 0.10294118, 0.15441176, 0.16911765,\n",
    "       0.23529412, 0.23529412, 0.27205882, 0.27205882, 0.30882353,\n",
    "       0.35294118, 0.375     , 0.38235294, 0.38235294, 0.39705882,\n",
    "       0.44852941, 0.44852941, 0.55882353, 0.55882353, 0.56617647,\n",
    "       0.56617647, 0.59558824, 0.59558824, 0.60294118, 0.60294118,\n",
    "       0.61029412, 0.61029412, 0.63235294, 0.63235294, 0.64705882,\n",
    "       0.64705882, 0.64705882, 0.64705882, 0.65441176, 0.65441176,\n",
    "       0.66176471, 0.66176471, 0.66911765, 0.66911765, 0.68382353,\n",
    "       0.68382353, 0.71323529, 0.71323529, 0.72058824, 0.72058824,\n",
    "       0.73529412, 0.74264706, 0.74264706, 0.75      , 0.75      ,\n",
    "       0.75      , 0.76470588, 0.77941176, 0.78676471, 0.78676471,\n",
    "       0.78676471, 0.79411765, 0.79411765, 0.80147059, 0.80147059,\n",
    "       0.80882353, 0.80882353, 0.83088235, 0.83088235, 0.83823529,\n",
    "       0.83823529, 0.84558824, 0.84558824, 0.85294118, 0.85294118,\n",
    "       0.86764706, 0.86764706, 0.88235294, 0.88235294, 0.88970588,\n",
    "       0.88970588, 0.89705882, 0.89705882, 0.92647059, 0.92647059,\n",
    "       0.92647059, 0.93382353, 0.93382353, 0.94117647, 0.94117647,\n",
    "       0.94852941, 0.94852941, 0.95588235, 0.95588235, 0.96323529,\n",
    "       0.96323529, 0.99264706, 0.99264706, 0.99264706, 0.99264706,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        ]]\n",
    "\n",
    "fpr_RCNMF=[[0.        , 0.        , 0.        , 0.00675676, 0.00675676,\n",
    "       0.01351351, 0.01351351, 0.05405405, 0.05405405, 0.08783784,\n",
    "       0.08783784, 0.10810811, 0.10810811, 0.12162162, 0.12162162,\n",
    "       0.14189189, 0.14189189, 0.25675676, 0.25675676, 0.33783784,\n",
    "       0.33783784, 0.34459459, 0.34459459, 0.35810811, 0.35810811,\n",
    "       0.5       , 0.5       , 0.53378378, 0.53378378, 0.5472973 ,\n",
    "       0.5472973 , 0.61486486, 0.61486486, 0.67567568, 0.67567568,\n",
    "       0.71621622, 0.71621622, 0.84459459, 0.84459459, 0.86486486,\n",
    "       0.86486486, 1.        ], [0.        , 0.        , 0.        , 0.00769231, 0.00769231,\n",
    "       0.01538462, 0.01538462, 0.03846154, 0.03846154, 0.05384615,\n",
    "       0.05384615, 0.06923077, 0.06923077, 0.07692308, 0.07692308,\n",
    "       0.1       , 0.1       , 0.11538462, 0.11538462, 0.13846154,\n",
    "       0.13846154, 0.16923077, 0.16923077, 0.18461538, 0.18461538,\n",
    "       0.19230769, 0.19230769, 0.2       , 0.2       , 0.20769231,\n",
    "       0.20769231, 0.22307692, 0.22307692, 0.23076923, 0.23076923,\n",
    "       0.26923077, 0.26923077, 0.32307692, 0.32307692, 0.40769231,\n",
    "       0.40769231, 0.50769231, 0.50769231, 0.6       , 0.6       ,\n",
    "       0.62307692, 0.62307692, 0.63846154, 0.63846154, 0.70769231,\n",
    "       0.70769231, 0.82307692, 0.82307692, 0.88461538, 0.88461538,\n",
    "       1.        , 1.        ], [0.        , 0.        , 0.        , 0.00869565, 0.00869565,\n",
    "       0.0173913 , 0.0173913 , 0.02608696, 0.02608696, 0.03478261,\n",
    "       0.03478261, 0.04347826, 0.04347826, 0.05217391, 0.05217391,\n",
    "       0.06086957, 0.06086957, 0.06956522, 0.06956522, 0.07826087,\n",
    "       0.07826087, 0.09565217, 0.09565217, 0.10434783, 0.10434783,\n",
    "       0.13043478, 0.13043478, 0.15652174, 0.15652174, 0.16521739,\n",
    "       0.16521739, 0.19130435, 0.19130435, 0.23478261, 0.23478261,\n",
    "       0.24347826, 0.24347826, 0.25217391, 0.25217391, 0.26086957,\n",
    "       0.26086957, 0.33043478, 0.33043478, 0.42608696, 0.42608696,\n",
    "       0.44347826, 0.44347826, 0.46086957, 0.46086957, 0.46956522,\n",
    "       0.46956522, 0.55652174, 0.55652174, 0.56521739, 0.56521739,\n",
    "       0.6       , 0.6       , 0.63478261, 0.63478261, 0.68695652,\n",
    "       0.68695652, 0.90434783, 0.90434783, 0.91304348, 0.91304348,\n",
    "       1.        , 1.        ], [0.        , 0.        , 0.        , 0.00645161, 0.00645161,\n",
    "       0.01290323, 0.01290323, 0.03225806, 0.03225806, 0.03870968,\n",
    "       0.03870968, 0.0516129 , 0.0516129 , 0.07096774, 0.07096774,\n",
    "       0.09032258, 0.09032258, 0.10967742, 0.10967742, 0.12258065,\n",
    "       0.12258065, 0.14193548, 0.14193548, 0.16129032, 0.16129032,\n",
    "       0.26451613, 0.26451613, 0.28387097, 0.28387097, 0.29032258,\n",
    "       0.29032258, 0.30322581, 0.30322581, 0.36774194, 0.36774194,\n",
    "       0.50322581, 0.50322581, 0.54193548, 0.54193548, 0.92258065,\n",
    "       0.92258065, 0.92903226, 0.92903226, 0.98709677, 0.98709677,\n",
    "       1.        ], [0.        , 0.        , 0.        , 0.00704225, 0.00704225,\n",
    "       0.01408451, 0.01408451, 0.02112676, 0.02112676, 0.02816901,\n",
    "       0.02816901, 0.03521127, 0.03521127, 0.0915493 , 0.0915493 ,\n",
    "       0.1056338 , 0.1056338 , 0.11267606, 0.11267606, 0.12676056,\n",
    "       0.12676056, 0.14084507, 0.14084507, 0.19014085, 0.19014085,\n",
    "       0.26056338, 0.26056338, 0.32394366, 0.32394366, 0.33098592,\n",
    "       0.33098592, 0.35211268, 0.35211268, 0.35915493, 0.35915493,\n",
    "       0.47887324, 0.47887324, 0.53521127, 0.53521127, 0.54225352,\n",
    "       0.54225352, 0.64084507, 0.64084507, 0.66197183, 0.66197183,\n",
    "       0.83098592, 0.83098592, 0.87323944, 0.87323944, 0.92253521,\n",
    "       0.92253521, 0.92957746, 0.92957746, 1.        , 1.        ]]\n",
    "tpr_RCNMF=[[0.       , 0.0078125, 0.8125   , 0.8125   , 0.828125 , 0.828125 ,\n",
    "       0.8515625, 0.8515625, 0.859375 , 0.859375 , 0.8828125, 0.8828125,\n",
    "       0.890625 , 0.890625 , 0.8984375, 0.8984375, 0.90625  , 0.90625  ,\n",
    "       0.9140625, 0.9140625, 0.921875 , 0.921875 , 0.9296875, 0.9296875,\n",
    "       0.9375   , 0.9375   , 0.9453125, 0.9453125, 0.953125 , 0.953125 ,\n",
    "       0.9609375, 0.9609375, 0.96875  , 0.96875  , 0.9765625, 0.9765625,\n",
    "       0.984375 , 0.984375 , 0.9921875, 0.9921875, 1.       , 1.       ], [0.        , 0.00684932, 0.7739726 , 0.7739726 , 0.78767123,\n",
    "       0.78767123, 0.80136986, 0.80136986, 0.81506849, 0.81506849,\n",
    "       0.82876712, 0.82876712, 0.83561644, 0.83561644, 0.84246575,\n",
    "       0.84246575, 0.84931507, 0.84931507, 0.85616438, 0.85616438,\n",
    "       0.86986301, 0.86986301, 0.87671233, 0.87671233, 0.88356164,\n",
    "       0.88356164, 0.89041096, 0.89041096, 0.89726027, 0.89726027,\n",
    "       0.9109589 , 0.9109589 , 0.91780822, 0.91780822, 0.92465753,\n",
    "       0.92465753, 0.93150685, 0.93150685, 0.93835616, 0.93835616,\n",
    "       0.94520548, 0.94520548, 0.95205479, 0.95205479, 0.95890411,\n",
    "       0.95890411, 0.96575342, 0.96575342, 0.97260274, 0.97260274,\n",
    "       0.97945205, 0.97945205, 0.98630137, 0.98630137, 0.99315068,\n",
    "       0.99315068, 1.        ], [0.        , 0.00621118, 0.72049689, 0.72049689, 0.7515528 ,\n",
    "       0.7515528 , 0.77018634, 0.77018634, 0.77639752, 0.77639752,\n",
    "       0.79503106, 0.79503106, 0.80124224, 0.80124224, 0.80745342,\n",
    "       0.80745342, 0.8136646 , 0.8136646 , 0.82608696, 0.82608696,\n",
    "       0.83229814, 0.83229814, 0.83850932, 0.83850932, 0.85093168,\n",
    "       0.85093168, 0.85714286, 0.85714286, 0.86335404, 0.86335404,\n",
    "       0.86956522, 0.86956522, 0.8757764 , 0.8757764 , 0.89440994,\n",
    "       0.89440994, 0.90062112, 0.90062112, 0.9068323 , 0.9068323 ,\n",
    "       0.91304348, 0.91304348, 0.91925466, 0.91925466, 0.92546584,\n",
    "       0.92546584, 0.93167702, 0.93167702, 0.9378882 , 0.9378882 ,\n",
    "       0.94409938, 0.94409938, 0.95031056, 0.95031056, 0.95652174,\n",
    "       0.95652174, 0.96273292, 0.96273292, 0.9689441 , 0.9689441 ,\n",
    "       0.98136646, 0.98136646, 0.98757764, 0.98757764, 0.99378882,\n",
    "       0.99378882, 1.        ], [0.        , 0.00826446, 0.7768595 , 0.7768595 , 0.80991736,\n",
    "       0.80991736, 0.81818182, 0.81818182, 0.83471074, 0.83471074,\n",
    "       0.84297521, 0.84297521, 0.85123967, 0.85123967, 0.85950413,\n",
    "       0.85950413, 0.8677686 , 0.8677686 , 0.88429752, 0.88429752,\n",
    "       0.89256198, 0.89256198, 0.90082645, 0.90082645, 0.90909091,\n",
    "       0.90909091, 0.91735537, 0.91735537, 0.92561983, 0.92561983,\n",
    "       0.9338843 , 0.9338843 , 0.94214876, 0.94214876, 0.95041322,\n",
    "       0.95041322, 0.95867769, 0.95867769, 0.96694215, 0.96694215,\n",
    "       0.97520661, 0.97520661, 0.98347107, 0.98347107, 1.        ,\n",
    "       1.        ], [0.        , 0.00746269, 0.71641791, 0.71641791, 0.74626866,\n",
    "       0.74626866, 0.75373134, 0.75373134, 0.76119403, 0.76119403,\n",
    "       0.76865672, 0.76865672, 0.7761194 , 0.7761194 , 0.79104478,\n",
    "       0.79104478, 0.79850746, 0.79850746, 0.80597015, 0.80597015,\n",
    "       0.84328358, 0.84328358, 0.85820896, 0.85820896, 0.87313433,\n",
    "       0.87313433, 0.88059701, 0.88059701, 0.8880597 , 0.8880597 ,\n",
    "       0.89552239, 0.89552239, 0.90298507, 0.90298507, 0.91791045,\n",
    "       0.91791045, 0.93283582, 0.93283582, 0.94029851, 0.94029851,\n",
    "       0.94776119, 0.94776119, 0.95522388, 0.95522388, 0.96268657,\n",
    "       0.96268657, 0.97014925, 0.97014925, 0.97761194, 0.97761194,\n",
    "       0.98507463, 0.98507463, 0.99253731, 0.99253731, 1.        ]]\n",
    "\n",
    "\n",
    "\n",
    "fpr_MAHN=[[0.        , 0.        , 0.        , 0.        , 0.        ,\n",
    "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
    "       0.00373134, 0.00373134, 0.00746269, 0.00746269, 0.01119403,\n",
    "       0.01119403, 0.01492537, 0.01492537, 0.01865672, 0.01865672,\n",
    "       0.02238806, 0.02238806, 0.0261194 , 0.0261194 , 0.03358209,\n",
    "       0.03358209, 0.04477612, 0.04477612, 0.04850746, 0.04850746,\n",
    "       0.05223881, 0.05223881, 0.05970149, 0.05970149, 0.06716418,\n",
    "       0.06716418, 0.08955224, 0.08955224, 0.09328358, 0.09328358,\n",
    "       0.09701493, 0.09701493, 0.11940299, 0.11940299, 0.12313433,\n",
    "       0.12313433, 0.12686567, 0.12686567, 0.14552239, 0.14552239,\n",
    "       0.15671642, 0.15671642, 0.1641791 , 0.1641791 , 0.19029851,\n",
    "       0.19029851, 0.19402985, 0.19402985, 0.20522388, 0.20522388,\n",
    "       0.20895522, 0.20895522, 0.22014925, 0.22014925, 0.23507463,\n",
    "       0.23507463, 0.31343284, 0.31343284, 1.        ], [0.        , 0.        , 0.        , 0.        , 0.        ,\n",
    "       0.        , 0.00384615, 0.00769231, 0.00769231, 0.01538462,\n",
    "       0.01538462, 0.02307692, 0.02307692, 0.02692308, 0.02692308,\n",
    "       0.03076923, 0.03076923, 0.03461538, 0.03461538, 0.03846154,\n",
    "       0.03846154, 0.04230769, 0.04230769, 0.04615385, 0.04615385,\n",
    "       0.05      , 0.05      , 0.05384615, 0.05384615, 0.07692308,\n",
    "       0.07692308, 0.08076923, 0.08076923, 0.08461538, 0.08461538,\n",
    "       0.11538462, 0.11538462, 0.12307692, 0.12307692, 0.13846154,\n",
    "       0.13846154, 0.14230769, 0.14230769, 0.16923077, 0.16923077,\n",
    "       0.17307692, 0.17307692, 0.17692308, 0.17692308, 0.18076923,\n",
    "       0.18076923, 0.19230769, 0.19230769, 0.2       , 0.2       ,\n",
    "       0.20384615, 0.20384615, 0.21153846, 0.21153846, 0.21923077,\n",
    "       0.21923077, 0.31153846, 0.31153846, 0.31923077, 0.31923077,\n",
    "       1.        ], [0.        , 0.        , 0.        , 0.        , 0.        ,\n",
    "       0.        , 0.        , 0.        , 0.        , 0.00381679,\n",
    "       0.00381679, 0.00763359, 0.00763359, 0.01526718, 0.01526718,\n",
    "       0.02290076, 0.02290076, 0.02671756, 0.02671756, 0.03053435,\n",
    "       0.03053435, 0.03816794, 0.03816794, 0.04198473, 0.04198473,\n",
    "       0.04961832, 0.04961832, 0.05343511, 0.05343511, 0.05725191,\n",
    "       0.05725191, 0.0610687 , 0.0610687 , 0.0648855 , 0.0648855 ,\n",
    "       0.06870229, 0.06870229, 0.07251908, 0.07251908, 0.09160305,\n",
    "       0.09160305, 0.09541985, 0.09541985, 0.10305344, 0.10305344,\n",
    "       0.11450382, 0.11450382, 0.17175573, 0.17175573, 0.17938931,\n",
    "       0.17938931, 0.19465649, 0.19465649, 0.23664122, 0.23664122,\n",
    "       0.24427481, 0.24427481, 0.27480916, 0.27480916, 0.29389313,\n",
    "       0.29389313, 0.29770992, 0.29770992, 0.30916031, 0.30916031,\n",
    "       0.36641221, 0.36641221, 0.51526718, 0.51526718, 0.57251908,\n",
    "       0.57251908, 0.72900763, 0.72900763, 0.74045802, 0.74045802,\n",
    "       0.75572519, 0.75572519, 0.77862595, 0.77862595, 1.        ], [0.        , 0.        , 0.        , 0.        , 0.        ,\n",
    "       0.00328947, 0.00328947, 0.00657895, 0.00657895, 0.00986842,\n",
    "       0.00986842, 0.01315789, 0.01315789, 0.01644737, 0.01644737,\n",
    "       0.02960526, 0.02960526, 0.03289474, 0.03289474, 0.03618421,\n",
    "       0.03618421, 0.03947368, 0.03947368, 0.04276316, 0.04276316,\n",
    "       0.04934211, 0.04934211, 0.0625    , 0.0625    , 0.06907895,\n",
    "       0.06907895, 0.07565789, 0.07565789, 0.08552632, 0.08552632,\n",
    "       0.09539474, 0.09539474, 0.09868421, 0.09868421, 0.10197368,\n",
    "       0.10197368, 0.10855263, 0.10855263, 0.125     , 0.125     ,\n",
    "       0.12828947, 0.12828947, 0.18421053, 0.18421053, 0.19078947,\n",
    "       0.19078947, 0.20394737, 0.20394737, 0.21710526, 0.21710526,\n",
    "       0.23026316, 0.23026316, 0.26973684, 0.26973684, 0.27302632,\n",
    "       0.27302632, 0.29276316, 0.29276316, 0.30592105, 0.30592105,\n",
    "       0.38486842, 0.38486842, 0.40789474, 0.40789474, 0.45394737,\n",
    "       0.45394737, 0.45723684, 0.45723684, 0.62828947, 0.62828947,\n",
    "       0.65131579, 0.65131579, 1.        ], [0.        , 0.        , 0.        , 0.        , 0.        ,\n",
    "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
    "       0.        , 0.        , 0.0034965 , 0.0034965 , 0.00699301,\n",
    "       0.00699301, 0.01048951, 0.01048951, 0.01398601, 0.01398601,\n",
    "       0.01748252, 0.01748252, 0.02097902, 0.02097902, 0.03146853,\n",
    "       0.03146853, 0.03496503, 0.03496503, 0.03846154, 0.03846154,\n",
    "       0.04195804, 0.04195804, 0.04545455, 0.04545455, 0.05244755,\n",
    "       0.05244755, 0.05594406, 0.05594406, 0.06643357, 0.06643357,\n",
    "       0.07692308, 0.07692308, 0.08391608, 0.08391608, 0.22027972,\n",
    "       0.22027972, 0.22377622, 0.22377622, 0.30769231, 0.30769231,\n",
    "       0.31118881, 0.31118881, 1.        ]]\n",
    "tpr_MAHN= [[0.        , 0.00352113, 0.01056338, 0.07042254, 0.07746479,\n",
    "       0.26408451, 0.27112676, 0.37676056, 0.38380282, 0.63732394,\n",
    "       0.63732394, 0.65492958, 0.65492958, 0.6584507 , 0.6584507 ,\n",
    "       0.69366197, 0.69366197, 0.74647887, 0.74647887, 0.76056338,\n",
    "       0.76056338, 0.83802817, 0.83802817, 0.84507042, 0.84507042,\n",
    "       0.84859155, 0.84859155, 0.85211268, 0.85211268, 0.8556338 ,\n",
    "       0.8556338 , 0.86619718, 0.86619718, 0.9084507 , 0.9084507 ,\n",
    "       0.91549296, 0.91549296, 0.92957746, 0.92957746, 0.93661972,\n",
    "       0.93661972, 0.94366197, 0.94366197, 0.9471831 , 0.9471831 ,\n",
    "       0.95070423, 0.95070423, 0.95422535, 0.95422535, 0.96126761,\n",
    "       0.96126761, 0.96478873, 0.96478873, 0.96830986, 0.96830986,\n",
    "       0.97183099, 0.97183099, 0.97535211, 0.97535211, 0.97887324,\n",
    "       0.97887324, 0.98591549, 0.98591549, 0.98943662, 0.98943662,\n",
    "       0.99295775, 0.99295775, 1.        , 1.        ], [0.        , 0.00342466, 0.01027397, 0.05821918, 0.06506849,\n",
    "       0.10958904, 0.1130137 , 0.1130137 , 0.5890411 , 0.5890411 ,\n",
    "       0.59931507, 0.59931507, 0.73630137, 0.73630137, 0.73972603,\n",
    "       0.73972603, 0.75      , 0.75      , 0.77054795, 0.77054795,\n",
    "       0.79109589, 0.79109589, 0.80479452, 0.80479452, 0.85616438,\n",
    "       0.85616438, 0.8630137 , 0.8630137 , 0.89041096, 0.89041096,\n",
    "       0.9109589 , 0.9109589 , 0.92123288, 0.92123288, 0.93150685,\n",
    "       0.93150685, 0.93493151, 0.93493151, 0.94520548, 0.94520548,\n",
    "       0.94863014, 0.94863014, 0.95547945, 0.95547945, 0.95890411,\n",
    "       0.95890411, 0.96575342, 0.96575342, 0.96917808, 0.96917808,\n",
    "       0.9760274 , 0.9760274 , 0.97945205, 0.97945205, 0.98287671,\n",
    "       0.98287671, 0.98630137, 0.98630137, 0.98972603, 0.98972603,\n",
    "       0.99315068, 0.99315068, 0.99657534, 0.99657534, 1.        ,\n",
    "       1.        ], [0.        , 0.00344828, 0.0137931 , 0.02068966, 0.12068966,\n",
    "       0.12758621, 0.48965517, 0.49655172, 0.77241379, 0.77241379,\n",
    "       0.77586207, 0.77586207, 0.77931034, 0.77931034, 0.78275862,\n",
    "       0.78275862, 0.7862069 , 0.7862069 , 0.8       , 0.8       ,\n",
    "       0.83793103, 0.83793103, 0.84482759, 0.84482759, 0.84827586,\n",
    "       0.84827586, 0.85172414, 0.85172414, 0.85517241, 0.85517241,\n",
    "       0.86551724, 0.86551724, 0.87586207, 0.87586207, 0.89310345,\n",
    "       0.89310345, 0.90689655, 0.90689655, 0.91034483, 0.91034483,\n",
    "       0.91724138, 0.91724138, 0.92413793, 0.92413793, 0.93103448,\n",
    "       0.93103448, 0.93793103, 0.93793103, 0.94137931, 0.94137931,\n",
    "       0.94827586, 0.94827586, 0.95172414, 0.95172414, 0.95517241,\n",
    "       0.95517241, 0.95862069, 0.95862069, 0.96206897, 0.96206897,\n",
    "       0.96551724, 0.96551724, 0.96896552, 0.96896552, 0.97241379,\n",
    "       0.97241379, 0.97931034, 0.97931034, 0.98275862, 0.98275862,\n",
    "       0.9862069 , 0.9862069 , 0.98965517, 0.98965517, 0.99310345,\n",
    "       0.99310345, 0.99655172, 0.99655172, 1.        , 1.        ], [0.        , 0.00403226, 0.25      , 0.25806452, 0.62903226,\n",
    "       0.62903226, 0.70564516, 0.70564516, 0.77016129, 0.77016129,\n",
    "       0.78225806, 0.78225806, 0.78629032, 0.78629032, 0.79435484,\n",
    "       0.79435484, 0.81451613, 0.81451613, 0.84677419, 0.84677419,\n",
    "       0.85080645, 0.85080645, 0.85483871, 0.85483871, 0.85887097,\n",
    "       0.85887097, 0.87096774, 0.87096774, 0.88306452, 0.88306452,\n",
    "       0.88709677, 0.88709677, 0.89112903, 0.89112903, 0.90322581,\n",
    "       0.90322581, 0.90725806, 0.90725806, 0.91532258, 0.91532258,\n",
    "       0.91935484, 0.91935484, 0.9233871 , 0.9233871 , 0.92741935,\n",
    "       0.92741935, 0.93548387, 0.93548387, 0.93951613, 0.93951613,\n",
    "       0.94354839, 0.94354839, 0.94758065, 0.94758065, 0.95564516,\n",
    "       0.95564516, 0.95967742, 0.95967742, 0.96370968, 0.96370968,\n",
    "       0.96774194, 0.96774194, 0.97177419, 0.97177419, 0.97580645,\n",
    "       0.97580645, 0.97983871, 0.97983871, 0.98387097, 0.98387097,\n",
    "       0.98790323, 0.98790323, 0.99193548, 0.99193548, 0.99596774,\n",
    "       0.99596774, 1.        , 1.        ], [0.        , 0.0037594 , 0.0112782 , 0.04135338, 0.05263158,\n",
    "       0.06766917, 0.07518797, 0.10902256, 0.11654135, 0.21052632,\n",
    "       0.21804511, 0.66917293, 0.66917293, 0.68796992, 0.68796992,\n",
    "       0.72932331, 0.72932331, 0.7443609 , 0.7443609 , 0.7481203 ,\n",
    "       0.7481203 , 0.76315789, 0.76315789, 0.76691729, 0.76691729,\n",
    "       0.77067669, 0.77067669, 0.81578947, 0.81578947, 0.83458647,\n",
    "       0.83458647, 0.89473684, 0.89473684, 0.91353383, 0.91353383,\n",
    "       0.92857143, 0.92857143, 0.94736842, 0.94736842, 0.95112782,\n",
    "       0.95112782, 0.96992481, 0.96992481, 0.98496241, 0.98496241,\n",
    "       0.9887218 , 0.9887218 , 0.9924812 , 0.9924812 , 0.9962406 ,\n",
    "       0.9962406 , 1.        , 1.        ]]\n",
    "\n",
    "\n",
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0.9925788497217068, 0.9925788497217068, 0.9925788497217068, 0.9925788497217068, 0.9925788497217068, 0.9933209647495361, 0.9933209647495361, 0.9944341372912802, 0.9948051948051948, 0.9948051948051948, 0.9951762523191094, 0.9951762523191094, 0.9951762523191094, 0.9959183673469387, 0.9959183673469387, 0.9959183673469387, 0.9959183673469387, 0.9962894248608535, 0.9962894248608535, 0.9962894248608535, 0.9962894248608535, 0.9962894248608535, 0.9962894248608535, 0.9962894248608535, 0.9962894248608535, 0.9962894248608535, 0.9962894248608535, 0.9962894248608535, 0.9962894248608535, 0.9962894248608535, 0.9966604823747681, 0.9966604823747681, 0.9966604823747681, 0.9966604823747681, 0.9966604823747681, 0.9966604823747681, 0.9966604823747681, 0.9966604823747681, 0.9966604823747681, 0.9966604823747681, 0.9966604823747681, 0.9966604823747681, 0.9966604823747681, 0.9966604823747681, 0.9966604823747681, 0.9966604823747681, 0.9966604823747681, 0.9970315398886828, 0.9970315398886828, 0.9970315398886828, 0.9970315398886828, 0.9974025974025974, 0.9974025974025974, 0.9974025974025974, 0.997773654916512, 0.9985157699443413, 0.9985157699443413, 0.9985157699443413, 0.9985157699443413, 0.9985157699443413, 0.9985157699443413, 0.9985157699443413, 0.9985157699443413, 0.9985157699443413, 0.9985157699443413, 0.9985157699443413, 0.9988868274582561, 0.9988868274582561, 0.9988868274582561, 0.9988868274582561, 0.9988868274582561, 0.9988868274582561, 0.9988868274582561, 0.9988868274582561, 0.9988868274582561, 0.9988868274582561, 0.9988868274582561, 0.9988868274582561, 0.9988868274582561, 0.9988868274582561, 0.9988868274582561, 0.9996289424860854, 0.9996289424860854, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]\n",
    "\n",
    "fpr_GCNAT= [[0.        , 0.        , 0.        , 0.00724638, 0.00724638,\n",
    "       0.01086957, 0.01086957, 0.01449275, 0.01449275, 0.01811594,\n",
    "       0.01811594, 0.02536232, 0.02536232, 0.02898551, 0.02898551,\n",
    "       0.0326087 , 0.0326087 , 0.03623188, 0.03623188, 0.05072464,\n",
    "       0.05072464, 0.05434783, 0.05434783, 0.05797101, 0.05797101,\n",
    "       0.0615942 , 0.0615942 , 0.07608696, 0.07608696, 0.07971014,\n",
    "       0.07971014, 0.08333333, 0.08333333, 0.09782609, 0.09782609,\n",
    "       0.11594203, 0.11594203, 0.12318841, 0.12318841, 0.12681159,\n",
    "       0.12681159, 0.13768116, 0.13768116, 0.15942029, 0.15942029,\n",
    "       0.17753623, 0.17753623, 0.18478261, 0.18478261, 0.19565217,\n",
    "       0.19565217, 0.19927536, 0.19927536, 0.2173913 , 0.2173913 ,\n",
    "       0.24275362, 0.24275362, 0.26811594, 0.26811594, 0.2826087 ,\n",
    "       0.2826087 , 0.29347826, 0.29347826, 0.32608696, 0.32608696,\n",
    "       0.33695652, 0.33695652, 0.3442029 , 0.3442029 , 0.37318841,\n",
    "       0.37318841, 0.41304348, 0.41304348, 0.64492754, 0.64492754,\n",
    "       1.        ],[0.        , 0.        , 0.        , 0.00362319, 0.00362319,\n",
    "       0.00724638, 0.00724638, 0.01086957, 0.01086957, 0.01449275,\n",
    "       0.01449275, 0.01811594, 0.01811594, 0.02173913, 0.02173913,\n",
    "       0.02536232, 0.02536232, 0.02898551, 0.02898551, 0.0326087 ,\n",
    "       0.0326087 , 0.03623188, 0.03623188, 0.03985507, 0.03985507,\n",
    "       0.04347826, 0.04347826, 0.05434783, 0.05434783, 0.07971014,\n",
    "       0.07971014, 0.10144928, 0.10144928, 0.10869565, 0.10869565,\n",
    "       0.11231884, 0.11231884, 0.13043478, 0.13043478, 0.13405797,\n",
    "       0.13405797, 0.15217391, 0.15217391, 0.1557971 , 0.1557971 ,\n",
    "       0.15942029, 0.15942029, 0.16666667, 0.16666667, 0.17028986,\n",
    "       0.17028986, 0.17753623, 0.17753623, 0.2173913 , 0.2173913 ,\n",
    "       0.22463768, 0.24275362, 0.24275362, 0.25      , 0.25      ,\n",
    "       0.25724638, 0.25724638, 0.2826087 , 0.2826087 , 0.3115942 ,\n",
    "       0.3115942 , 0.32971014, 0.32971014, 0.37681159, 0.37681159,\n",
    "       0.40942029, 0.40942029, 0.41304348, 0.41304348, 0.42391304,\n",
    "       0.42391304, 0.46376812, 0.46376812, 0.53985507, 0.53985507,\n",
    "       0.59782609, 0.59782609, 0.64130435, 0.64130435, 0.72826087,\n",
    "       0.72826087, 0.82246377, 0.82246377, 0.96376812, 0.96376812,\n",
    "       1.        ], [0.        , 0.        , 0.        , 0.00362319, 0.00362319,\n",
    "       0.01086957, 0.01086957, 0.01449275, 0.01449275, 0.01811594,\n",
    "       0.01811594, 0.02173913, 0.02173913, 0.02536232, 0.02536232,\n",
    "       0.0326087 , 0.0326087 , 0.03623188, 0.03623188, 0.03985507,\n",
    "       0.03985507, 0.04347826, 0.04347826, 0.05434783, 0.05434783,\n",
    "       0.05797101, 0.05797101, 0.07246377, 0.07246377, 0.07608696,\n",
    "       0.07608696, 0.08333333, 0.08333333, 0.09782609, 0.10507246,\n",
    "       0.10869565, 0.10869565, 0.11231884, 0.11231884, 0.12318841,\n",
    "       0.12318841, 0.14130435, 0.14130435, 0.15217391, 0.15217391,\n",
    "       0.1557971 , 0.1557971 , 0.18478261, 0.18478261, 0.20652174,\n",
    "       0.20652174, 0.22101449, 0.22101449, 0.22463768, 0.22463768,\n",
    "       0.22826087, 0.22826087, 0.2826087 , 0.2826087 , 0.28985507,\n",
    "       0.28985507, 0.29710145, 0.30434783, 0.30434783, 0.32608696,\n",
    "       0.32608696, 0.34057971, 0.34057971, 0.34782609, 0.34782609,\n",
    "       0.35144928, 0.35144928, 0.48550725, 0.48550725, 0.5326087 ,\n",
    "       0.5326087 , 0.55797101, 0.55797101, 0.61956522, 0.61956522,\n",
    "       0.62318841, 0.62318841, 0.76449275, 0.76449275, 0.97826087,\n",
    "       0.97826087, 1.        ], [0.        , 0.        , 0.        , 0.00362319, 0.00362319,\n",
    "       0.00724638, 0.00724638, 0.01086957, 0.01086957, 0.02173913,\n",
    "       0.02173913, 0.02536232, 0.02536232, 0.02898551, 0.02898551,\n",
    "       0.03623188, 0.03623188, 0.04710145, 0.04710145, 0.05072464,\n",
    "       0.05072464, 0.05434783, 0.05434783, 0.05797101, 0.05797101,\n",
    "       0.0615942 , 0.0615942 , 0.06884058, 0.06884058, 0.10507246,\n",
    "       0.10507246, 0.12318841, 0.12318841, 0.14130435, 0.14130435,\n",
    "       0.16304348, 0.16304348, 0.18115942, 0.18115942, 0.1884058 ,\n",
    "       0.1884058 , 0.20652174, 0.20652174, 0.2173913 , 0.2173913 ,\n",
    "       0.22463768, 0.23188406, 0.24275362, 0.24275362, 0.25362319,\n",
    "       0.25362319, 0.30434783, 0.30434783, 0.33695652, 0.33695652,\n",
    "       0.36956522, 0.36956522, 0.39855072, 0.39855072, 0.44927536,\n",
    "       0.44927536, 0.45289855, 0.45289855, 0.48913043, 0.48913043,\n",
    "       0.53985507, 0.53985507, 0.66666667, 0.66666667, 0.75724638,\n",
    "       0.75724638, 0.80072464, 0.80072464, 0.8115942 , 0.8115942 ,\n",
    "       1.        ], [0.        , 0.        , 0.        , 0.00362319, 0.00362319,\n",
    "       0.00724638, 0.00724638, 0.01086957, 0.01086957, 0.01449275,\n",
    "       0.01449275, 0.01811594, 0.01811594, 0.02173913, 0.02173913,\n",
    "       0.02536232, 0.02536232, 0.02898551, 0.02898551, 0.0326087 ,\n",
    "       0.0326087 , 0.03985507, 0.03985507, 0.04347826, 0.04347826,\n",
    "       0.05072464, 0.05072464, 0.07246377, 0.07246377, 0.08695652,\n",
    "       0.08695652, 0.09057971, 0.09057971, 0.0942029 , 0.0942029 ,\n",
    "       0.12318841, 0.12318841, 0.14130435, 0.14130435, 0.15217391,\n",
    "       0.15217391, 0.17391304, 0.17391304, 0.22101449, 0.22101449,\n",
    "       0.22463768, 0.22463768, 0.22826087, 0.22826087, 0.24275362,\n",
    "       0.24275362, 0.27173913, 0.27173913, 0.2826087 , 0.2826087 ,\n",
    "       0.28985507, 0.28985507, 0.30434783, 0.30434783, 0.31521739,\n",
    "       0.31521739, 0.32971014, 0.32971014, 0.35144928, 0.35144928,\n",
    "       0.40217391, 0.40217391, 0.44202899, 0.44202899, 0.44565217,\n",
    "       0.44565217, 0.52898551, 0.52898551, 0.53623188, 0.54347826,\n",
    "       0.57608696, 0.57608696, 0.63043478, 0.63768116, 0.64492754,\n",
    "       0.64492754, 0.67753623, 0.67753623, 0.80434783, 0.80434783,\n",
    "       0.90217391, 0.90942029, 1.        ]]\n",
    "tpr_GCNAT= [[0.        , 0.00724638, 0.61594203, 0.61594203, 0.65217391,\n",
    "       0.65217391, 0.65942029, 0.65942029, 0.67391304, 0.67391304,\n",
    "       0.68115942, 0.68115942, 0.6884058 , 0.6884058 , 0.72463768,\n",
    "       0.72463768, 0.74637681, 0.74637681, 0.75362319, 0.75362319,\n",
    "       0.76086957, 0.76086957, 0.76811594, 0.76811594, 0.77536232,\n",
    "       0.77536232, 0.79710145, 0.79710145, 0.80434783, 0.80434783,\n",
    "       0.8115942 , 0.8115942 , 0.81884058, 0.81884058, 0.83333333,\n",
    "       0.83333333, 0.84057971, 0.84057971, 0.85507246, 0.85507246,\n",
    "       0.86231884, 0.86231884, 0.86956522, 0.86956522, 0.88405797,\n",
    "       0.88405797, 0.89130435, 0.89130435, 0.89855072, 0.89855072,\n",
    "       0.9057971 , 0.9057971 , 0.91304348, 0.91304348, 0.92028986,\n",
    "       0.92028986, 0.92753623, 0.92753623, 0.94202899, 0.94202899,\n",
    "       0.94927536, 0.94927536, 0.95652174, 0.95652174, 0.96376812,\n",
    "       0.96376812, 0.97101449, 0.97101449, 0.97826087, 0.97826087,\n",
    "       0.98550725, 0.98550725, 0.99275362, 0.99275362, 1.        ,\n",
    "       1.        ], [0.        , 0.00724638, 0.2173913 , 0.2173913 , 0.24637681,\n",
    "       0.24637681, 0.3115942 , 0.3115942 , 0.34782609, 0.34782609,\n",
    "       0.39855072, 0.39855072, 0.62318841, 0.62318841, 0.65217391,\n",
    "       0.65217391, 0.66666667, 0.66666667, 0.68115942, 0.68115942,\n",
    "       0.70289855, 0.70289855, 0.71014493, 0.71014493, 0.7173913 ,\n",
    "       0.7173913 , 0.72463768, 0.72463768, 0.76086957, 0.76086957,\n",
    "       0.76811594, 0.76811594, 0.77536232, 0.77536232, 0.7826087 ,\n",
    "       0.7826087 , 0.78985507, 0.78985507, 0.79710145, 0.79710145,\n",
    "       0.80434783, 0.80434783, 0.8115942 , 0.8115942 , 0.82608696,\n",
    "       0.82608696, 0.83333333, 0.83333333, 0.84057971, 0.84057971,\n",
    "       0.84782609, 0.84782609, 0.86231884, 0.86231884, 0.86956522,\n",
    "       0.86956522, 0.86956522, 0.87681159, 0.87681159, 0.89130435,\n",
    "       0.89130435, 0.89855072, 0.89855072, 0.9057971 , 0.9057971 ,\n",
    "       0.91304348, 0.91304348, 0.92028986, 0.92028986, 0.92753623,\n",
    "       0.92753623, 0.93478261, 0.93478261, 0.94202899, 0.94202899,\n",
    "       0.94927536, 0.94927536, 0.95652174, 0.95652174, 0.96376812,\n",
    "       0.96376812, 0.97101449, 0.97101449, 0.97826087, 0.97826087,\n",
    "       0.98550725, 0.98550725, 0.99275362, 0.99275362, 1.        ,\n",
    "       1.        ], [0.        , 0.00724638, 0.20289855, 0.20289855, 0.33333333,\n",
    "       0.33333333, 0.36956522, 0.36956522, 0.56521739, 0.56521739,\n",
    "       0.65217391, 0.65217391, 0.67391304, 0.67391304, 0.70289855,\n",
    "       0.70289855, 0.71014493, 0.71014493, 0.7173913 , 0.7173913 ,\n",
    "       0.72463768, 0.72463768, 0.74637681, 0.74637681, 0.75362319,\n",
    "       0.75362319, 0.76811594, 0.76811594, 0.7826087 , 0.7826087 ,\n",
    "       0.78985507, 0.78985507, 0.79710145, 0.79710145, 0.79710145,\n",
    "       0.79710145, 0.80434783, 0.80434783, 0.8115942 , 0.8115942 ,\n",
    "       0.81884058, 0.81884058, 0.82608696, 0.82608696, 0.83333333,\n",
    "       0.83333333, 0.84782609, 0.84782609, 0.85507246, 0.85507246,\n",
    "       0.86231884, 0.86231884, 0.86956522, 0.86956522, 0.87681159,\n",
    "       0.87681159, 0.89130435, 0.89130435, 0.89855072, 0.89855072,\n",
    "       0.9057971 , 0.9057971 , 0.9057971 , 0.91304348, 0.91304348,\n",
    "       0.92028986, 0.92028986, 0.92753623, 0.92753623, 0.93478261,\n",
    "       0.93478261, 0.94202899, 0.94202899, 0.94927536, 0.94927536,\n",
    "       0.95652174, 0.95652174, 0.96376812, 0.96376812, 0.97101449,\n",
    "       0.97101449, 0.98550725, 0.98550725, 0.99275362, 0.99275362,\n",
    "       1.        , 1.        ], [0.        , 0.00724638, 0.15217391, 0.15217391, 0.48550725,\n",
    "       0.48550725, 0.65942029, 0.65942029, 0.66666667, 0.66666667,\n",
    "       0.67391304, 0.67391304, 0.68115942, 0.68115942, 0.69565217,\n",
    "       0.69565217, 0.73188406, 0.73188406, 0.73913043, 0.73913043,\n",
    "       0.74637681, 0.74637681, 0.76086957, 0.76086957, 0.76811594,\n",
    "       0.76811594, 0.7826087 , 0.7826087 , 0.78985507, 0.78985507,\n",
    "       0.79710145, 0.79710145, 0.80434783, 0.80434783, 0.82608696,\n",
    "       0.82608696, 0.84057971, 0.84057971, 0.84782609, 0.84782609,\n",
    "       0.86956522, 0.86956522, 0.87681159, 0.87681159, 0.88405797,\n",
    "       0.88405797, 0.88405797, 0.88405797, 0.89130435, 0.89130435,\n",
    "       0.89855072, 0.89855072, 0.9057971 , 0.9057971 , 0.91304348,\n",
    "       0.91304348, 0.92028986, 0.92028986, 0.92753623, 0.92753623,\n",
    "       0.94202899, 0.94202899, 0.94927536, 0.94927536, 0.95652174,\n",
    "       0.95652174, 0.97101449, 0.97101449, 0.97826087, 0.97826087,\n",
    "       0.98550725, 0.98550725, 0.99275362, 0.99275362, 1.        ,\n",
    "       1.        ], [0.        , 0.00724638, 0.11594203, 0.11594203, 0.28985507,\n",
    "       0.28985507, 0.4057971 , 0.4057971 , 0.43478261, 0.43478261,\n",
    "       0.46376812, 0.46376812, 0.60144928, 0.60144928, 0.63768116,\n",
    "       0.63768116, 0.64492754, 0.64492754, 0.66666667, 0.66666667,\n",
    "       0.69565217, 0.69565217, 0.7173913 , 0.7173913 , 0.72463768,\n",
    "       0.72463768, 0.73188406, 0.73188406, 0.74637681, 0.74637681,\n",
    "       0.76811594, 0.76811594, 0.7826087 , 0.7826087 , 0.8115942 ,\n",
    "       0.8115942 , 0.82608696, 0.82608696, 0.83333333, 0.83333333,\n",
    "       0.84057971, 0.84057971, 0.84782609, 0.84782609, 0.85507246,\n",
    "       0.85507246, 0.86231884, 0.86231884, 0.88405797, 0.88405797,\n",
    "       0.89130435, 0.89130435, 0.89855072, 0.89855072, 0.9057971 ,\n",
    "       0.9057971 , 0.91304348, 0.91304348, 0.92028986, 0.92028986,\n",
    "       0.92753623, 0.92753623, 0.93478261, 0.93478261, 0.94202899,\n",
    "       0.94202899, 0.94927536, 0.94927536, 0.95652174, 0.95652174,\n",
    "       0.96376812, 0.96376812, 0.97101449, 0.97101449, 0.97101449,\n",
    "       0.97101449, 0.97826087, 0.97826087, 0.97826087, 0.97826087,\n",
    "       0.98550725, 0.98550725, 0.99275362, 0.99275362, 1.        ,\n",
    "       1.        , 1.        , 1.        ]]"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-08T01:38:39.197409800Z",
     "start_time": "2024-05-08T01:38:39.117240800Z"
    }
   },
   "id": "b7e2b24c0eb20e00",
   "execution_count": 2
  },
  {
   "cell_type": "markdown",
   "source": [
    "# tpr and fpr data preprocessing"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "e6ebd8d6fd3fb9ad"
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "def plot_auc_preprocess_DWRF(fprs, tprs):\n",
    "    mean_fpr = np.linspace(0, 1, 2000)\n",
    "    tpr = np.interp(mean_fpr, fprs, tprs).tolist()\n",
    "    tpr[-1] = 1.0\n",
    "    # print('mean_tpr', mean_tpr)\n",
    "    return tpr\n",
    "# print('tpr_DWRF', plot_auc_preprocess_DWRF(fpr_DWRF, tpr_DWRF))\n",
    "\n",
    "\n",
    "def plot_auc_preprocess(fprs, tprs):\n",
    "    mean_fpr = np.linspace(0, 1, 2000)\n",
    "    tpr = []\n",
    "\n",
    "    for i in range(len(fprs)):\n",
    "        tpr.append(np.interp(mean_fpr, fprs[i], tprs[i]))\n",
    "        tpr[-1][0] = 0.0\n",
    "    mean_tpr = np.mean(tpr, axis=0)\n",
    "    mean_tpr[-1] = 1.0\n",
    "    # print('mean_tpr', mean_tpr)\n",
    "    return mean_tpr.tolist()\n",
    "# print('tpr_MDBIRW', plot_auc_preprocess(fpr_MDBIRW, tpr_MDBIRW))\n",
    "# print('tpr_RCNMF', plot_auc_preprocess(fpr_RCNMF, tpr_RCNMF))\n",
    "# print('tpr_MAHN', plot_auc_preprocess(fpr_MAHN, tpr_MAHN))\n",
    "# print('tpr_GCNAT', plot_auc_preprocess(fpr_GCNAT, tpr_GCNAT))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-08T01:38:39.213413500Z",
     "start_time": "2024-05-08T01:38:39.201409500Z"
    }
   },
   "id": "2b1cad6ef9831317",
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "source": [
    "# processed Tpr"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "29132fec166411c2"
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
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   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-08T01:38:39.562718400Z",
     "start_time": "2024-05-08T01:38:39.215411500Z"
    }
   },
   "id": "dade0f03de927bd6",
   "execution_count": 4
  },
  {
   "cell_type": "markdown",
   "source": [
    "# Plot ROC"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "19de7e4d6351dfa9"
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "# ROC对比实验\n",
    "def plot_auc_curves(tprs):\n",
    "    mean_fpr = np.linspace(0, 1, 2000)\n",
    "    plt.plot(mean_fpr, tprs[0], color='BlueViolet', alpha=1, label='MAHN(AUC=%.4f)' % 0.9739)\n",
    "    plt.plot(mean_fpr, tprs[1], alpha=0.4, linestyle='--', label='MDBIRW(AUC=%.4f)' % 0.9062)\n",
    "    plt.plot(mean_fpr, tprs[2], alpha=0.4, linestyle='--', label='RCNMF(AUC=%.4f)' % 0.9354)\n",
    "    plt.plot(mean_fpr, tprs[3], alpha=0.4, linestyle='--', label='DWRF(AUC=%.4f)' % 0.9511)\n",
    "    plt.plot(mean_fpr, tprs[4], alpha=0.4, linestyle='--', label='GCNAT(AUC=%.4f)' % 0.9244)\n",
    "\n",
    "    plt.plot([0, 1], [0, 1], linestyle='--', color='black', alpha=0.4)\n",
    "\n",
    "    plt.xlim([-0.05, 1.05])\n",
    "    plt.ylim([-0.05, 1.05])\n",
    "    plt.xlabel('False Positive Rate', fontsize=12)\n",
    "    plt.ylabel('True Positive Rate', fontsize=12)\n",
    "    # plt.title('ROC curve')\n",
    "    plt.legend(loc='lower right', fontsize=10)\n",
    "    plt.savefig('result\\Comparative_experiment.pdf', format='pdf', dpi=300, bbox_inches='tight')\n",
    "    plt.show()\n",
    "    plt.close()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-08T01:38:39.579717900Z",
     "start_time": "2024-05-08T01:38:39.568719400Z"
    }
   },
   "id": "823b1d9794b2cba4",
   "execution_count": 5
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_auc_curves(TPR)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-08T01:38:39.957347400Z",
     "start_time": "2024-05-08T01:38:39.580720300Z"
    }
   },
   "id": "164d811ed92ead5a",
   "execution_count": 6
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
